Exercises - Bases

  1. Convert the following from the indicated base to base 10:

    1. $431_7$
    2. $3790_{12}$
    3. $8CF6_{16}$

     
    1. 218
    2. 6300
    3. 36086

  2. Convert the following from base 10 to the indicated base:

    1. $431$ to base $7$
    2. $3790$ to binary
    3. $3790$ to hexadecimal
    4. $9876$ to base $16$

     
    1. $1154_7$
    2. $111011001110_2$
    3. $ECE_{16}$
    4. $2694_{16}$

  3. List 10 consecutive binary values, starting with the binary equivalent of $200_{10}$   

    11001000
11001001
11001010
11001011
11001100
11001101
11001110
11001111
11010000
11010001

  4. List 10 consecutive base $3$ values, starting with $200_3$   

    200
201
202
210
211
212
220
221
222
1000

  5. List 10 consecutive hexadecimal values, starting with $A34BD$   

    A34BD
A34BE
A34BF
A34C0
A34C1
A34C2
A34C3
A34C4
A34C5
A34C6

  6. Perform the indicated additions "natively" in the given base.

    1. $2F6DC + 9EB7F8$; (base $16$)
    2. $10011101 + 11101110$; (base $2$)
    3. $120122 + 220122$; (base $3$)

     
    1. A1AED4
    2. 110001011
    3. 1111021

  7. Convert the binary value $101101011110100101000110000011$ to hexadecimal  

    2D7A5183

  8. Convert the hexadecimal value $A1B2C3D4E5F6789$ to binary  

    1010 0001 1011 0010 1100 0011 1101 0100 1110 0101 1111 0110 0111 1000 1001